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**Lecture 31: Mid-Term Review**

ENGI 1313 Mechanics I Lecture 31: Mid-Term Review

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**Overall Mid-Term Results**

Class Statistics (259) Average 67% Standard deviation 17% Standard deviation between sections 3% Solution Posted

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**Term A/B Exam (Mon. Oct 22) Results are not Back Student Numbers**

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**No Record of Mid-Term Exam**

Contact Me Immediately to Resolve Student Numbers

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Problem 1 Determine the components of the F force acting along the u and v axes. Given: 1 = 70 2 = 45 3 = 60 F = 250N

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**Problem 1 (cont.) Problem Characteristics Solution Method**

Force vectors No right rectangular coordinate system Forces on specified axes Solution Method Parallelogram or triangle construction Law of sines

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Problem 1 (cont.) Force Triangle Fv F = 250 N 1 = 70 2 = 45 Fu

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Problem 2 The three cables are used to support the lamp of weight W. Determine the force developed in each cable for equilibrium. Given: a = 4 m b = 4 m c = 2 m W = 600 N 4 m 2 m 4 m W = 600 N

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**Problem 2 (cont.) Problem Characteristics Solution Method**

Particle Equilibrium Scalar or vector approach Solution Method Summation of Forces 4 m 2 m 4 m W = 600 N

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**Problem 2 (cont.) FBD and Unit Vectors FAD 4 m 2 m 4 m FAB FAC**

W = 600 N

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**Problem 2 (cont.) Equilibrium Equation Three Equations FAD 4 m 2 m 4 m**

FAB FAC W = 600 N

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Problem 3 Force F is applied to the handle of the wrench. Determine the angle between the tail of the force F and the handle AB. Given: a = 0.30 m b = 0.50 m F = 80 N 1 = 30 2 = 45 F = 80N 1 2 0.3 m 0.5 m

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**Problem 3 (cont.) Problem Characteristics Solution Method**

Vector projection Solution Method Dot product F = 80N 1 2 0.3 m 0.5 m

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**Problem 3 (cont.) Unit Vectors Dot Product F = 80N 30 0.3 m 0.5 m**

45 0.3 m 0.5 m

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Problem 4 The hood of the automobile is supported by the strut AB, which exerts a force F on the hood. Determine the moment of this force about the hinged axis y. Given: a = 0.60 m b = 1.50 m c = 0.25 m d = 1.00 m F = 100 N

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**Problem 4 (cont.) Problem Characteristics Solution Method**

Moment about a specified axis Solution Method Triple scalar product

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Problem 4 (cont.) Unit Vector Moment about Y-axis

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